Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. If this process continues for 5 generations ____ people will know the art of quilling .

please help !

Question

Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. If this process continues for 5 generations ____ people will know the art of quilling . 

 please help !

directrix · Answer

Read the discussion here by @iGreen and @hartnn http://openstudy.com/updates/5478990fe4b06583de54036b

directrix · Answer

@tracynicolexoxo

anonymous · Answer

1024 I think..

directrix · Answer

You do not agree with 1365 ?

 1+ 4+ 4^2 + 4^3+4^4 +4^5

@tracynicolexoxo

directrix · Answer

The 1 at the beginning is for Amanda.

anonymous · Answer

Oh, yes i believe you are right(:

directrix · Answer

Okay. Check to be sure you agree.

anonymous · Answer

Shouldn't It Be 1+4^4+8^4+12^2+16^4+20^4?

anonymous · Answer

Cause each person can teach 4 people..

anonymous · Answer

Making The Answer 230033? Im Not Sure, That Seems Like A Bigger Number Than It Should Be..

hartnn · Answer

the exponent won't be 4.
infact the exponent of 4 keeps on increasing.

think of an easier problem,
just 3 generations,
amenda --1--4^0
her 4 students ---4---4^1 
4 of the 1st student, 4 of the 2nd, 4 of the 3rd and 4 of the 4th ------16
which is 4^2

and so on.

hartnn · Answer

think of it as a tree,
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